100010111201 has 16 divisors (see below), whose sum is σ = 134279311488. Its totient is φ = 71935344000.

The previous prime is 100010111161. The next prime is 100010111207. The reversal of 100010111201 is 102111010001.

It is a happy number.

It is not a de Polignac number, because 100010111201 - 2¹⁰ = 100010110177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100010111207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49954100 + ... + 49956101.

It is an arithmetic number, because the mean of its divisors is an integer number (8392456968).

Almost surely, 2^100010111201 is an apocalyptic number.

100010111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010111201 is a deficient number, since it is larger than the sum of its proper divisors (34269200287).

100010111201 is a wasteful number, since it uses less digits than its factorization.

100010111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99910232.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100010111201 its reverse (102111010001), we get a palindrome (202121121202).

The spelling of 100010111201 in words is "one hundred billion, ten million, one hundred eleven thousand, two hundred one".